JEE (JOINT ENTRANCE EXAMINATION) NEW UPDATED 2026 COMPLETE
EXAM QUESTIONS AND CORRECT ANSWERS
1. Q: A body of mass 2 kg is moving with velocity 10 m/s. What is its kinetic
energy? A: KE = ½mv² = ½ × 2 × 10² = 100 J
2. Q: A force of 10 N acts on a body of mass 2 kg. What is the acceleration
produced? A: a = F/m = 10/2 = 5 m/s²
3. Q: A ball is thrown vertically upward with velocity 20 m/s. What is the
maximum height reached? (g = 10 m/s²) A: h = u²/2g = 20²/(2×10) = 20 m
4. Q: What is the momentum of a body of mass 5 kg moving with velocity 4
m/s? A: p = mv = 5 × 4 = 20 kg·m/s
5. Q: A body moves with uniform acceleration from rest and covers 100 m
in 10 s. What is the acceleration? A: s = ½at², so 100 = ½ × a × 10², a = 2 m/s²
6. Q: Two bodies of masses 2 kg and 3 kg are moving with velocities 5 m/s
and 2 m/s respectively in the same direction. What is the velocity of their
center of mass? A: vcm = (m₁v₁ + m₂v₂)/(m₁ + m₂) = (2×5 + 3×2)/(2+3) = 16/5
= 3.2 m/s
7. Q: A body of mass 1 kg is rotating in a circle of radius 2 m with angular
velocity 4 rad/s. What is its angular momentum? A: L = Iω = mr²ω = 1 × 2²
× 4 = 16 kg·m²/s
8. Q: What is the escape velocity from Earth's surface? (g = 10 m/s², R =
6400 km) A: ve = √(2gR) = √(2 × 10 × 6.4 × 10⁶) = 11.3 km/s
9. Q: A spring of spring constant 100 N/m is compressed by 0.1 m. What is
the potential energy stored? A: PE = ½kx² = ½ × 100 × 0.1² = 0.5 J
10. Q: Two bodies of equal mass collide elastically. If one is at rest, what
happens after collision? A: They exchange velocities; the moving body stops
and the stationary body moves with the initial velocity of the first body.
11. Q: A wheel of radius 0.5 m is rotating at 60 rpm. What is its angular
velocity in rad/s? A: ω = 2πn/60 = 2π × 60/60 = 2π rad/s ≈ 6.28 rad/s
12. Q: A force of 5 N acts on a body for 10 s. What is the impulse? A:
Impulse = F × t = 5 × 10 = 50 N·s
,13. Q: What is the work done by a force of 10 N in moving a body through
5 m at an angle of 60° to the displacement? A: W = F·s·cosθ = 10 × 5 ×
cos60° = 10 × 5 × 0.5 = 25 J
14. Q: A body of mass 4 kg is moving in a circle of radius 2 m with speed 4
m/s. What is the centripetal force? A: F = mv²/r = 4 × 4²/2 = 32 N
15. Q: The coefficient of friction between two surfaces is 0.3. What is the
angle of friction? A: tanθ = μ, θ = tan⁻¹(0.3) ≈ 16.7°
16. Q: A projectile is fired at an angle of 45° with velocity 20 m/s. What is
the range? (g = 10 m/s²) A: R = u²sin2θ/g = 20² × sin90°/10 = 400/10 = 40 m
17. Q: What is the moment of inertia of a solid sphere of mass M and
radius R about its diameter? A: I = (2/5)MR²
18. Q: A car moves with uniform velocity of 20 m/s. What is the distance
covered in 5 seconds? A: Distance = velocity × time = 20 × 5 = 100 m
19. Q: Two forces of 3 N and 4 N act perpendicular to each other. What is
their resultant? A: R = √(3² + 4²) = √(9 + 16) = 5 N
20. Q: A body is dropped from a height of 80 m. How long does it take to
reach the ground? (g = 10 m/s²) A: h = ½gt², 80 = ½ × 10 × t², t = 4 s
21. Q: What is the power delivered when a force of 50 N moves a body with
velocity 4 m/s? A: P = F·v = 50 × 4 = 200 W
22. Q: A pendulum of length 1 m has a time period of how many seconds?
(g = 10 m/s²) A: T = 2π√(l/g) = 2π√(1/10) = 2π/√10 ≈ 2 s
23. Q: What is the banking angle for a road of radius 100 m if vehicles
move at 20 m/s? (g = 10 m/s²) A: tanθ = v²/rg = 20²/(100×10) = 0.4, θ =
tan⁻¹(0.4) ≈ 21.8°
24. Q: A body slides down a frictionless inclined plane of angle 30°. What is
its acceleration? (g = 10 m/s²) A: a = g sinθ = 10 × sin30° = 10 × 0.5 = 5 m/s²
25. Q: What is the gravitational potential energy of a body of mass 10 kg at
height 5 m? (g = 10 m/s²) A: PE = mgh = 10 × 10 × 5 = 500 J
Thermodynamics (15 Questions)
26. Q: What is the relation between Celsius and Kelvin scales? A: K = °C +
273.15
27. Q: One mole of an ideal gas at STP occupies what volume? A: 22.4 liters
, 28. Q: What is the first law of thermodynamics? A: ΔQ = ΔU + ΔW (Heat
supplied = Change in internal energy + Work done)
29. Q: For an isothermal process, what is the change in internal energy? A:
ΔU = 0 (since temperature is constant)
30. Q: What is the efficiency of a Carnot engine operating between 400 K
and 300 K? A: η = 1 - T₂/T₁ = 1 - 300/400 = 0.25 or 25%
31. Q: What is the specific heat capacity of water? A: 4200 J/kg·K or 1
cal/g·°C
32. Q: How much heat is required to raise the temperature of 2 kg of water
from 20°C to 100°C? A: Q = mcΔT = 2 × 4200 × 80 = 672,000 J = 672 kJ
33. Q: What is the ratio of specific heats (γ) for a monoatomic ideal gas? A:
γ = Cp/Cv = 5/3 ≈ 1.67
34. Q: In an adiabatic process, what quantity remains constant? A: No heat
exchange occurs (ΔQ = 0); PVγ = constant
35. Q: What is the work done in an isochoric (constant volume) process? A:
W = 0 (since ΔV = 0)
36. Q: What is the latent heat of fusion of ice? A: 334 kJ/kg or 80 cal/g
37. Q: What is the latent heat of vaporization of water? A: 2260 kJ/kg or
540 cal/g
38. Q: For an ideal gas, what is PV equal to? A: PV = nRT (where n is
number of moles, R is gas constant, T is temperature)
39. Q: What is the value of universal gas constant R? A: R = 8.314 J/mol·K
40. Q: Two moles of an ideal gas are heated from 300 K to 400 K at
constant pressure. What is the work done? (R = 8.314 J/mol·K) A: W =
nRΔT = 2 × 8.314 × 100 = 1662.8 J
Electricity and Magnetism (30 Questions)
41. Q: What is Ohm's law? A: V = IR (Voltage = Current × Resistance)
42. Q: What is the resistance of a conductor of length 2 m, cross-sectional
area 10⁻⁶ m² and resistivity 10⁻⁷ Ω·m? A: R = ρl/A = (10⁻⁷ × 2)/10⁻⁶ = 0.2 Ω
43. Q: Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in parallel. What
is the equivalent resistance? A: 1/R = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 1, R
=1Ω
EXAM QUESTIONS AND CORRECT ANSWERS
1. Q: A body of mass 2 kg is moving with velocity 10 m/s. What is its kinetic
energy? A: KE = ½mv² = ½ × 2 × 10² = 100 J
2. Q: A force of 10 N acts on a body of mass 2 kg. What is the acceleration
produced? A: a = F/m = 10/2 = 5 m/s²
3. Q: A ball is thrown vertically upward with velocity 20 m/s. What is the
maximum height reached? (g = 10 m/s²) A: h = u²/2g = 20²/(2×10) = 20 m
4. Q: What is the momentum of a body of mass 5 kg moving with velocity 4
m/s? A: p = mv = 5 × 4 = 20 kg·m/s
5. Q: A body moves with uniform acceleration from rest and covers 100 m
in 10 s. What is the acceleration? A: s = ½at², so 100 = ½ × a × 10², a = 2 m/s²
6. Q: Two bodies of masses 2 kg and 3 kg are moving with velocities 5 m/s
and 2 m/s respectively in the same direction. What is the velocity of their
center of mass? A: vcm = (m₁v₁ + m₂v₂)/(m₁ + m₂) = (2×5 + 3×2)/(2+3) = 16/5
= 3.2 m/s
7. Q: A body of mass 1 kg is rotating in a circle of radius 2 m with angular
velocity 4 rad/s. What is its angular momentum? A: L = Iω = mr²ω = 1 × 2²
× 4 = 16 kg·m²/s
8. Q: What is the escape velocity from Earth's surface? (g = 10 m/s², R =
6400 km) A: ve = √(2gR) = √(2 × 10 × 6.4 × 10⁶) = 11.3 km/s
9. Q: A spring of spring constant 100 N/m is compressed by 0.1 m. What is
the potential energy stored? A: PE = ½kx² = ½ × 100 × 0.1² = 0.5 J
10. Q: Two bodies of equal mass collide elastically. If one is at rest, what
happens after collision? A: They exchange velocities; the moving body stops
and the stationary body moves with the initial velocity of the first body.
11. Q: A wheel of radius 0.5 m is rotating at 60 rpm. What is its angular
velocity in rad/s? A: ω = 2πn/60 = 2π × 60/60 = 2π rad/s ≈ 6.28 rad/s
12. Q: A force of 5 N acts on a body for 10 s. What is the impulse? A:
Impulse = F × t = 5 × 10 = 50 N·s
,13. Q: What is the work done by a force of 10 N in moving a body through
5 m at an angle of 60° to the displacement? A: W = F·s·cosθ = 10 × 5 ×
cos60° = 10 × 5 × 0.5 = 25 J
14. Q: A body of mass 4 kg is moving in a circle of radius 2 m with speed 4
m/s. What is the centripetal force? A: F = mv²/r = 4 × 4²/2 = 32 N
15. Q: The coefficient of friction between two surfaces is 0.3. What is the
angle of friction? A: tanθ = μ, θ = tan⁻¹(0.3) ≈ 16.7°
16. Q: A projectile is fired at an angle of 45° with velocity 20 m/s. What is
the range? (g = 10 m/s²) A: R = u²sin2θ/g = 20² × sin90°/10 = 400/10 = 40 m
17. Q: What is the moment of inertia of a solid sphere of mass M and
radius R about its diameter? A: I = (2/5)MR²
18. Q: A car moves with uniform velocity of 20 m/s. What is the distance
covered in 5 seconds? A: Distance = velocity × time = 20 × 5 = 100 m
19. Q: Two forces of 3 N and 4 N act perpendicular to each other. What is
their resultant? A: R = √(3² + 4²) = √(9 + 16) = 5 N
20. Q: A body is dropped from a height of 80 m. How long does it take to
reach the ground? (g = 10 m/s²) A: h = ½gt², 80 = ½ × 10 × t², t = 4 s
21. Q: What is the power delivered when a force of 50 N moves a body with
velocity 4 m/s? A: P = F·v = 50 × 4 = 200 W
22. Q: A pendulum of length 1 m has a time period of how many seconds?
(g = 10 m/s²) A: T = 2π√(l/g) = 2π√(1/10) = 2π/√10 ≈ 2 s
23. Q: What is the banking angle for a road of radius 100 m if vehicles
move at 20 m/s? (g = 10 m/s²) A: tanθ = v²/rg = 20²/(100×10) = 0.4, θ =
tan⁻¹(0.4) ≈ 21.8°
24. Q: A body slides down a frictionless inclined plane of angle 30°. What is
its acceleration? (g = 10 m/s²) A: a = g sinθ = 10 × sin30° = 10 × 0.5 = 5 m/s²
25. Q: What is the gravitational potential energy of a body of mass 10 kg at
height 5 m? (g = 10 m/s²) A: PE = mgh = 10 × 10 × 5 = 500 J
Thermodynamics (15 Questions)
26. Q: What is the relation between Celsius and Kelvin scales? A: K = °C +
273.15
27. Q: One mole of an ideal gas at STP occupies what volume? A: 22.4 liters
, 28. Q: What is the first law of thermodynamics? A: ΔQ = ΔU + ΔW (Heat
supplied = Change in internal energy + Work done)
29. Q: For an isothermal process, what is the change in internal energy? A:
ΔU = 0 (since temperature is constant)
30. Q: What is the efficiency of a Carnot engine operating between 400 K
and 300 K? A: η = 1 - T₂/T₁ = 1 - 300/400 = 0.25 or 25%
31. Q: What is the specific heat capacity of water? A: 4200 J/kg·K or 1
cal/g·°C
32. Q: How much heat is required to raise the temperature of 2 kg of water
from 20°C to 100°C? A: Q = mcΔT = 2 × 4200 × 80 = 672,000 J = 672 kJ
33. Q: What is the ratio of specific heats (γ) for a monoatomic ideal gas? A:
γ = Cp/Cv = 5/3 ≈ 1.67
34. Q: In an adiabatic process, what quantity remains constant? A: No heat
exchange occurs (ΔQ = 0); PVγ = constant
35. Q: What is the work done in an isochoric (constant volume) process? A:
W = 0 (since ΔV = 0)
36. Q: What is the latent heat of fusion of ice? A: 334 kJ/kg or 80 cal/g
37. Q: What is the latent heat of vaporization of water? A: 2260 kJ/kg or
540 cal/g
38. Q: For an ideal gas, what is PV equal to? A: PV = nRT (where n is
number of moles, R is gas constant, T is temperature)
39. Q: What is the value of universal gas constant R? A: R = 8.314 J/mol·K
40. Q: Two moles of an ideal gas are heated from 300 K to 400 K at
constant pressure. What is the work done? (R = 8.314 J/mol·K) A: W =
nRΔT = 2 × 8.314 × 100 = 1662.8 J
Electricity and Magnetism (30 Questions)
41. Q: What is Ohm's law? A: V = IR (Voltage = Current × Resistance)
42. Q: What is the resistance of a conductor of length 2 m, cross-sectional
area 10⁻⁶ m² and resistivity 10⁻⁷ Ω·m? A: R = ρl/A = (10⁻⁷ × 2)/10⁻⁶ = 0.2 Ω
43. Q: Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in parallel. What
is the equivalent resistance? A: 1/R = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 1, R
=1Ω